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Finding the Third Proportional to 697,248 and 1,472,832

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Solution

The third proportional to 697,248 and 1,472,832 is: 3,111,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,248 : 1,472,832 = 1,472,832 : x
  2. Step 2: Convert to fraction form
    697,248/1,472,832 = 1,472,832/x
  3. Step 3: Cross multiply
    697,248x = 1,472,832 × 1,472,832
  4. Step 4: Simplify right side
    697,248x = 2,169,234,100,224
  5. Step 5: Solve for x
    x = 2,169,234,100,224/697,248
  6. Step 6: Final answer
    x = 3,111,137.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.